2752754400 has 216 divisors, whose sum is σ = 10589650344. Its totient is φ = 667315200.

The previous prime is 2752754369. The next prime is 2752754401. The reversal of 2752754400 is 44572572.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752754401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61822 + ... + 96578.

It is an arithmetic number, because the mean of its divisors is an integer number (49026159).

Almost surely, 2^2752754400 is an apocalyptic number.

2752754400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2752754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294825172).

2752754400 is an abundant number, since it is smaller than the sum of its proper divisors (7836895944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2752754400 is a wasteful number, since it uses less digits than its factorization.

2752754400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34794 (or 34778 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 2752754400 is about 52466.6980093087. The cubic root of 2752754400 is about 1401.4872630127.

The spelling of 2752754400 in words is "two billion, seven hundred fifty-two million, seven hundred fifty-four thousand, four hundred".